Only if you want to produce specific pure bred chickens and/or are wanting to do specific crosses - aside from that, the chickens don't care one bit. Handsome EE roo you have there.
As Ol Grey Mare said, it doesn't matter what breed your rooster is IF you don't mind mixed breed birds. But, if you're trying to breed a purebred chicken, you'll want the rooster to be the same breed as the hens.